Question

write quadratic equation whose zeroes are 5 and -2?
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Answer 1

Step-by-step explanation:

Given: Two zeroes of a quadratic equation are 5 and -2.

To find: Quadratic equation.

Let 5 be a and -2 be b.

• Sum of zeroes of polynomial => (a+b) => 5+(-2)=5-2=3.
• Product of zeroes of polynomial => a×b =>5×(-2)= -10.

Formula of quadratic equation:

${x}^{2} - (a + b)x + ab$

The required quadratic equation:

x²-3x-10=0.

Answer 2

Answer:

x^2 - 3x - 10 = 0

Step-by-step explanation:

we have given two zeroes, then

(x-5) (x+2)

x^2 + 2x - 5x-10

x^2-3x -10